Polynomial Functions
Rational Functions
Exponential and Logarithmic Functions
Limits and Conic Sections
Bonus
100
Find x in the following equation
f(x) = 3x2 - 11x + 8
x= 16/6, 1
100
Find the domain and range of f(x) = x2 + 3x + 2 / x - 1
(-∞, 1 ) (1, ∞)
(-∞,5 - 2 sqrt 6] [5+2 sqrt 6, ∞)
100
Write the following in logarithmic form: 6y = 3
Log3x = 2
100
What is the center of a circle (x-3)2 + (y-8)2 = 81
(3,8)
100
This is Spillanes catchphrase.
What is "focus, focus, focus"
200
Which direction will the graphed equation end up facing?
y = (x-1)2(x+5)3 (x-2)2
positively increasing in both x and y axes
200
Find when f(x) is increasing
f(x) = 3x - 6 / x2 - 4x - 4
never
200
Find the balance in an account after 4 years if $4000 is deposited at 5% annual interest, compounded continuously. When will this account double in value? [A = Pe^(rt)]
31.92 years
200
Find the limit for the following: limx→4 (7x+3)
limit = 31
200
On a special day, this person brought us cookies.
Who is Ari Schwartz?
300
Graph
y = (x-3)4(x+5)3 (x-2)2(x+7)2
300
Sketch the graph for
f(x) = x2 - 7x +12 / x - 2x
300
Solve for x: 15(20)3x+2 - 5 = 0
X = -1.46
300
Find the limit for the following: limx→3- (12x+3)
so the limit = -∞
400
What is (4x3 + 5x2 + 5x + 8) ÷ (4x + 1)?
7
400
Find when f(x) is decreasing
f(x) = x2 - 7x + 6/ x2 − 9x + 11
always
400
Solve for x: 15(20)3x+2 - 5 = 0
*answers may vary*
400
Find the center, major, minor, and foci point for the following hyperbola: (x+3)2/4 -(y-2)2/9=1
center = (-3, 2)
major = (-1, 2)(-5,2)
minor = (-3, -1)(-3, 5)
foci points = (-3-3.60..., 2)(-3+3.60..., 2)
500
What is 3x4- 5x2 + 3 divided by (x+2)?
31
500
Find the asymptotes of
x2 + 3x / x2 −27
VA: x = -3 sqrt 3, 3 sqrt 3
HA: y = 1
500
Find a logarithmic equation with these points: (4,2)(12,3)(24,4)
Y = log3/2(x+12)-4.84
500
Find the center, major, minor, and foci points of the following hyperbola: (x+4)2/25 - (y-5)2/16=1
center = (-4,5)
major = (-9,5)(1,5)
minor = (-4,2)(-4,8)
foci points = (-4-6.40...,5)(-4+6.40...,5)